Mark the Correct alternative in the following:

The value of is


Given to find the value of


We will solve the expression in two parts,


Now solving 1st term





If we multiply and divide the term by 2, we get,




[using the formula for and ]



----- (1)


Solving the 2nd term



[using the formula for ]


1 – 2 tan x cot 2x = 1 – ( 1 – tan2x)


= 1 – 1 + tan2x


1 – 2 tan x cot 2x = tan2 x ----- (2)


Now by combining (1) and (2) we get,




Hence the answer is option D.

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